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Finding the Fourth Proportional to 77,781, 116,688.78 and 28,533

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Solution

The fourth proportional to 77,781, 116,688.78 and 28,533 is: 42,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781 : 116,688.78 = 28,533 : x
  2. Step 2: Convert to fraction form
    77,781/116,688.78 = 28,533/x
  3. Step 3: Cross multiply
    77,781x = 116,688.78 × 28,533
  4. Step 4: Simplify right side
    77,781x = 3,329,480,959.74
  5. Step 5: Solve for x
    x = 3,329,480,959.74/77,781
  6. Step 6: Final answer
    x = 42,805.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.